Micro-indentation testing has shown great promise in extracting local mechanical properties of ductile metal materials. Although the relevant contact physics has been well revealed since the 19th century, interpreting the indentation data still poses many challenges at the application level. Regarding one of the mainstream methodologies for extracting metal's representative stress-stain curve, the semi-analytical method has demonstrated remarkable performance towards the well-defined contact system involved. However, applying such a model to other indentation scenarios tends to cause some practical measuring problems. The validity of the results depends heavily on the practical experimental setup and the hardware testing calibration, which is inherently related to its accomplishment level in capturing the entire mechanical response. This thesis investigates such practical issues through a provided semi-analytical model validation. In addition, to capture a material's elastic modulus with less reliance on initial data, a novel analytical model has been proposed, with a special focus on the extensive unloading/reloading data. However, both the analytical and semi-analytical methods are not fully applicable. For the analytical model, the first unloading segment contributes the most matched estimates of effective modulus to the tensile reference value, with an average deviation error of 6%. But there still remain relatively large discrepancies between two similar samples. Besides, the validity of its results highly depends on accurate profile radius determination, which demands a more precise profilometry system. For the semi-analytical model validation, the resulting indentation strain-stress curves appear to exhibit post-yield behavior and fail to capture the effective modulus as well as the yield strength. It reveals the model's performance that heavily relies on the initial elastic data.